Question

find ten rational numbers between -3/4 and 5/6

Answer 1

6/6 7/6 8/6 9/6 10/6 11/6 12/6 13/6.........................................................

Answer 2

Answer:

$-\frac{8}{12}, -\frac{7}{12}, -\frac{6}{12}, -\frac{5}{12}, -\frac{4}{12}, -\frac{3}{12}, -\frac{2}{12}, -\frac{1}{12}, \frac{1}{12}, \frac{2}{12}$

Step-by-step explanation:

Given two number is -3/4 and 5/6.

For the rational number:

First of all, there is a need to make the denominator equal.

Now,

LCM of denominator:

4 = 2 x 2

6 = 2 x 3

LCM = 2 x 3 x 2 = 12

∴ denominator will be 12

Thus,

$-\frac{3}{4}\times\frac{3}{3} = -\frac{9}{12} \ and\ \frac{5}{6}\times\frac{2}{2} = \frac{10}{12}$

∴ Ten rational numbers between -3/4 and 5/6 wil be

$-\frac{8}{12}, -\frac{7}{12}, -\frac{6}{12}, -\frac{5}{12}, -\frac{4}{12}, -\frac{3}{12}, -\frac{2}{12}, -\frac{1}{12}, \frac{1}{12}, \frac{2}{12}$